{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from tqdm import tqdm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "# all states\n",
    "N_STATES = 19\n",
    "\n",
    "# discount\n",
    "GAMMA = 1\n",
    "\n",
    "# all states but terminal states\n",
    "STATES = np.arange(1, N_STATES + 1)\n",
    "\n",
    "# start from the middle state\n",
    "START_STATE = 10\n",
    "\n",
    "# two terminal states\n",
    "# an action leading to the left terminal state has reward -1\n",
    "# an action leading to the right terminal state has reward 1\n",
    "END_STATES = [0, N_STATES + 1]\n",
    "\n",
    "\n",
    "# true state value from bellman equation\n",
    "TRUE_VALUE = np.arange(-20, 22, 2) / 20.0\n",
    "TRUE_VALUE[0] = TRUE_VALUE[-1] = 0\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "# n-steps TD method\n",
    "# @value: values for each state, will be updated\n",
    "# @n: # of steps\n",
    "# @alpha: # step size\n",
    "def temporal_difference(value, n, alpha):\n",
    "    # initial starting state\n",
    "    state = START_STATE\n",
    "\n",
    "    # arrays to store states and rewards for an episode\n",
    "    # space isn't a major consideration, so I didn't use the mod trick\n",
    "    states = [state]\n",
    "    rewards = [0]\n",
    "    # track the time\n",
    "    time = 0\n",
    "\n",
    "    # the length of this episode\n",
    "    T = float('inf')\n",
    "    while True:\n",
    "        # go to next time step\n",
    "        time += 1\n",
    "\n",
    "        if time < T:\n",
    "            # choose an action randomly\n",
    "            if np.random.binomial(1, 0.5) == 1:\n",
    "                next_state = state + 1\n",
    "            else:\n",
    "                next_state = state - 1\n",
    "\n",
    "            if next_state == 0:\n",
    "                reward = -1\n",
    "            elif next_state == 20:\n",
    "                reward = 1\n",
    "            else:\n",
    "                reward = 0\n",
    "\n",
    "            # store new state and new reward\n",
    "            states.append(next_state)\n",
    "            rewards.append(reward)\n",
    "\n",
    "            if next_state in END_STATES:\n",
    "                T = time\n",
    "\n",
    "        # get the time of the state to update\n",
    "        update_time = time - n\n",
    "        if update_time >= 0:\n",
    "            returns = 0.0\n",
    "            for t in range(update_time + 1, min(T, update_time + n) + 1):\n",
    "                returns += pow(GAMMA, t - update_time - 1) * rewards[t]\n",
    "            \n",
    "            if update_time + n <= T:\n",
    "                returns += pow(GAMMA, n) * value[states[(update_time + n)]]\n",
    "            \n",
    "            state_to_update = states[update_time]\n",
    "            if not state_to_update in END_STATES:\n",
    "                value[state_to_update] += alpha * (returns - value[state_to_update])\n",
    "        if update_time == T - 1:\n",
    "            break\n",
    "        state = next_state\n",
    "    \n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "# Figure 7.2, it will take quite a while\n",
    "def figure7_2():\n",
    "    # all possible steps\n",
    "    steps = np.power(2, np.arange(0, 10))\n",
    "\n",
    "    # all possible alphas\n",
    "    alphas = np.arange(0, 1.1, 0.1)\n",
    "\n",
    "    # each run has 10 episodes\n",
    "    episodes = 10\n",
    "\n",
    "    # perform 100 independent runs\n",
    "    runs = 100\n",
    "\n",
    "    # track the errors for each (step, alpha) combination\n",
    "    errors = np.zeros((len(steps), len(alphas)))\n",
    "    for run in tqdm(range(0, runs)):\n",
    "        for step_ind, step in enumerate(steps):\n",
    "            for alpha_ind, alpha in enumerate(alphas):\n",
    "                # print('run:', run, 'step:', step, 'alpha:', alpha)\n",
    "                value = np.zeros(N_STATES + 2)\n",
    "                for ep in range(0, episodes):\n",
    "                    temporal_difference(value, step, alpha)\n",
    "                    # calculate the RMS error\n",
    "                    errors[step_ind, alpha_ind] += np.sqrt(np.sum(np.power(value - TRUE_VALUE, 2)) / N_STATES)\n",
    "    # take average\n",
    "    errors /= episodes * runs\n",
    "\n",
    "    for i in range(0, len(steps)):\n",
    "        plt.plot(alphas, errors[i, :], label='n = %d' % (steps[i]))\n",
    "    plt.xlabel('alpha')\n",
    "    plt.ylabel('RMS error')\n",
    "    plt.ylim([0.25, 0.55])\n",
    "    plt.legend()\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "  0%|          | 0/100 [00:00<?, ?it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 100/100 [03:27<00:00,  2.08s/it]\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "figure7_2()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "rl",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.20"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
